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Finding the Fourth Proportional to 1,677.70, 2,512.88 and 810.18

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Solution

The fourth proportional to 1,677.70, 2,512.88 and 810.18 is: 1,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.70 : 2,512.88 = 810.18 : x
  2. Step 2: Convert to fraction form
    1,677.70/2,512.88 = 810.18/x
  3. Step 3: Cross multiply
    1,677.70x = 2,512.88 × 810.18
  4. Step 4: Simplify right side
    1,677.70x = 2,035,885.12
  5. Step 5: Solve for x
    x = 2,035,885.12/1,677.70
  6. Step 6: Final answer
    x = 1,213.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.